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Finding the Fourth Proportional to 3,294.75, 4,942.13 and 986.19

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Solution

The fourth proportional to 3,294.75, 4,942.13 and 986.19 is: 1,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.75 : 4,942.13 = 986.19 : x
  2. Step 2: Convert to fraction form
    3,294.75/4,942.13 = 986.19/x
  3. Step 3: Cross multiply
    3,294.75x = 4,942.13 × 986.19
  4. Step 4: Simplify right side
    3,294.75x = 4,873,874.25
  5. Step 5: Solve for x
    x = 4,873,874.25/3,294.75
  6. Step 6: Final answer
    x = 1,479.29

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.